Answer:
232°
Step-by-step explanation:
There are a couple of ways to find the desired direction. Perhaps the most straightforward is to add up the coordinates of the travel vectors.
30∠270° +50∠210° = 30(cos(270°), sin(270°)) +50(cos(210°), sin(210°))
= (0, -30) +(-43.301, -25) = (-43.301, -55)
Then the angle from port is ...
arctan(-55/-43.301) ≈ 231.79° . . . . . . . 3rd quadrant angle
The bearing of the ship from port is about 232°.
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<em>Comment on the problem statement</em>
The term "knot" is conventionally used to indicate a measure of speed (nautical mile per hour), not distance. It is derived from the use of a knotted rope to estimate speed. Knots on the rope were typically 47 ft 3 inches apart. As a measure of distance 30 knots is about 1417.5 feet.
Event A - roll a 6-number cube
Event B - flip a coin
*Independent events *not mutually exclusive events
Both events are independent and not mutually exclusive.
Independent event means that one can happen without relying on the outcome of the other one.
Not mutually exclusive event means that both can happen at the same time.
A. 2
b. 0
c. -2
d. 0
f(x) just means that the number in the parentheses is the x-value and if it asks for f(x) it wants the y-value at that x point
Answer:
Third option: x=0 and x=16
Step-by-step explanation:
Isolating √(2x+4): Addind √x both sides of the equation:
Squaring both sides of the equation:
Simplifying on the left side, and applying on the right side the formula:
Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:
Squaring both sides of the equation:
This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:
Factoring: Common factor x:
x (x-16)=0
Two solutions:
1) x=0
2) x-16=0
Solving for x: Adding 16 both sides of the equation:
x-16+16=0+16
x=16
Let's prove the solutions in the orignal equation:
1) x=0:
x=0 is a solution
2) x=16
x=16 is a solution
Then the solutions are x=0 and x=16
Use the Sine Rule:-
b / sin B = c / sin C
15 / si n B = 9 / sin 29
sin B = 15* sin 29 / 9 = 0.8080
B = 53.90 degrees
